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Extensions of the Cayley-Hamilton Theorem with Applications to Elliptic Operators and Frames.

The Cayley-Hamilton Theorem is an important result in the study of linear transformations over finite dimensional vector spaces. In this thesis, we show that the Cayley-Hamilton Theorem can be extended to self-adjoint trace-class operators and to closed self-adjoint operators with trace-class resolvent over a separable Hilbert space. Applications of these results include calculating operators resolvents and finding the inverse of a frame operator.

Identiferoai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etd-2181
Date16 August 2005
CreatorsTeguia, Alberto Mokak
PublisherDigital Commons @ East Tennessee State University
Source SetsEast Tennessee State University
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceElectronic Theses and Dissertations
RightsCopyright by the authors.

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